For atoms with two or more electrons, the governing equations can only be solved with the use of methods of iterative approximation.

( The largest problem that could be solved without the use of the intermediate output and input was two simultaneous equations, a trivial problem.

The two governing principles of the plan were that the problem of settling outstanding balances should be solved by ' creating ' additional ' international money ', and that debtor and creditor should be treated almost alike as disturbers of equilibrium.

The characterization is epitomized by an observation made by President Ramón Barros Luco ( 1910 – 1915 ), reputedly made in reference to labor unrest: " There are only two kinds of problems: those that solve themselves and those that can't be solved.

If I told you my son's age, then there would no longer be two unknowns ( variables ), and the problem becomes a linear equation with just one variable, that can be solved as described above.

Quadratic equations can also be solved using factorization ( the reverse process of which is expansion, but for two linear terms is sometimes denoted foiling ).

As in Newtonian mechanics, no system consisting of more than two particles can be solved with an exact analytical mathematical approach ( see 3-body problem ) and helium is no exception.

Meanwhile, in the Soviet Union, Nikolay Basov and Aleksandr Prokhorov were independently working on the quantum oscillator and solved the problem of continuous-output systems by using more than two energy levels.

It results in two self-consistency equations that must be solved numerically, the solutions of which are the three stable phases of the liquid crystal.

H < sub > 2 </ sub >< sup >+</ sup > is composed of two positively charged protons and one negatively charged electron, which means that the Schrödinger equation for the system can be solved more easily due to the lack of electron – electron repulsion.

If the Euler-Lagrange equations are solved for this system, it is found that the motion depends on two constants and ( each related to a constant of motion ).

The first atomic structures of the ribosome complexed with tRNA and mRNA molecules were solved by using X-ray crystallography by two groups independently, at 2. 8 Å and at 3. 7 Å.

He found that if he solved Schrödinger ’ s equation for each side of the junction separately to obtain the wave functions ψ and χ for each electrode, he could obtain the tunnel matrix, M, from the overlap of these two wave functions.

The problem was solved with the intercession of the Kamakura Shogunate, who had the two lines alternate.

Banach solved them within a week and the two soon published their first joint work ( On the Mean Convergence of Fourier Series ).

In 1158 the two brother met at Sahagun, and peacefully solved the heritage matters.

* Since NP-complete problems transform to each other by polynomial-time many-one reduction ( also called polynomial transformation ), all NP-complete problems can be solved in polynomial time by a reduction to H, thus all problems in NP reduce to H ; note, however, that this involves combining two different transformations: from NP-complete decision problems to NP-complete problem L by polynomial transformation, and from L to H by polynomial Turing reduction ;

The question of men's signatures was solved by having two sections of signatures, one for women followed by one for men.

This can be solved using two mutually recursive procedures:

This solved two problems with the large naval guns of the day as fitted to capital ships.

In terms of the three cottage problem this means the problem can be solved by punching two holes through the plane ( or the sphere ) and connecting them with a tube.

Relations were resumed in 1975 but broken again in 1978 over the inability of the two countries to reach an agreement that solved the Atacama border dispute, that might have granted Bolivia a sovereign access to the sea.

The first, An Wang's, was the write-after-read cycle, which solved the problem of how to use a storage medium in which the act of reading erased the data read enabling the construction of a serial, one dimensional shift register of o ( 50 ) bits, using two cores to store a bit.

They rely on the fact that Planck's law, which relates temperature to the intensity of radiation emitted at individual wavelengths, can be solved for temperature if Planck ’ s statement of the intensities at two different wavelengths is divided.

We wish to find a point which is on both planes ( i. e. on their intersection ), so insert this equation into each of the equations of the planes to get two simultaneous equations which can be solved for and.

Along with James II's perceived despotism, his religion was the main cause of the Glorious Revolution of 1688, and the previous linked religious and succession problems solved by the joint monarchy of William and Mary.

The relational model solved this by splitting the data into a series of normalized tables ( or relations ), with optional elements being moved out of the main table to where they would take up room only if needed.

In 1857 Lamont DuPont solved the main problem when using cheaper sodium nitrate formulations when he patented DuPont " B " Blasting powder ; after manufacturing grains from press-cake in the usual way, the powder was tumbled with graphite dust for 12 hours, forming a coating on each grain which in this case reduced its ability to pick up moisture.

Its main purpose was to prove that there were problems ( namely the halting problem ) that could not be solved by any sequential process.

The paradox can be solved by mass transfer: when the more massive star became a subgiant, it filled its Roche lobe, and most of the mass was transferred to the other star, which is still in the main sequence.

The reason is that once a sub-problem is small enough, it and all its sub-problems can, in principle, be solved within the cache, without accessing the slower main memory.

* Biuro Szyfrów, the agency that solved the Enigma machine with plugboard, the main German cipher device during World War II

* The main plotline focuses on a mystery that must be solved.

One of his main arguments in Small is Beautiful is that we cannot consider the problem of technological production solved if it requires that we recklessly erode our finite natural capital and deprive future generations of its benefits.

A notable achievement of the Board was the creation of the core London sewerage system, including 75 miles ( 120 km ) of main and 1000 miles ( 1650 km ) of street sewers, which solved the problem.

Gears were another source of considerable noise, solved by employing hypoid gears which are mounted at a right angle to the axle, where three of the six teeth constantly engaged the main gear, reducing play and noise.

The main sculpture contains four separate enigmatic messages, three of which have been solved.

Wakefield believed that the main reason for the apparent barrenness of the Tanganyika was local primitive farming practices that would be easily solved by Western equipment.

There are also what's called a secondary persona, where the character is not a member of the primary stakeholder group and is not the main target of the design, but their needs should be met and problems solved if possible.

Eads solved the problem with a wooden jetty system that narrowed the main outlet of the river, causing the river to speed up and cut its channel deeper, allowing year-round navigation.

He has his cases solved for him by the youthful main character, Conan Edogawa.

This overpass not only provided a vital link between the downtown core and the new suburb of Transcona, but it solved the unavoidable traffic congestion that resulted from the previous level crossing on the Canadian Pacific Railway main line.

The main murder mystery is never solved, though little doubt remains as to who did it.

* National Economic Action Council, a main governing body which solved the economic crisis in Malaysia between 1996-1998

The focus on medium sized High Street supermarkets was largely a matter of making the best of a very difficult job ; the main problem, which had not been solved by the end of the 1980s, was to make some sense of the heterogeneous collection of stores which it had acquired through its numerous takeovers.

Cray solved this by adding ten smaller computers to the system, allowing them to deal with the slower external storage ( disks and tapes ) and " squirt " data into memory when the main processor was busy.

Therefore the foundation work was commenced before the architect had solved the problem of how to build the main structure of the building.

Some variants, such as in the TV Guide, include a word reading along a main diagonal, row, or column once solved ; determining the word in advance can be viewed as a solving aid.

The main problem that has to be solved for all case of manipulation of the STFT is the fact that individual signal components ( sinusoids, impulses ) will be spread over multiple frames and multiple STFT frequency locations ( bins ).